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IgorC [24]
3 years ago
12

-6x-10=20 Show me the steps.

Mathematics
1 answer:
Debora [2.8K]3 years ago
6 0

Answer:

-6x-10=20

Collect like terms

-6x=20+10

-6x=30

Divide both sides by -6

x=30/6

x=5

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2a(squared) + 3a + 8

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Step-by-step explanation:

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4 years ago
What is the difference of the polynomials? (m^2n^2-7)-(mn+4)
Vilka [71]

Answer: The difference is,

m^2n^2-mn-11

Step-by-step explanation:

Given expression is,

(m^2n^2-7)-(mn+4)

By distributive property,

m^2n^2-7-mn-4

Combine like terms( that have the same variables and powers ),

m^2n^2-mn-11

Which is the required result.

Hence, option third is correct.

4 0
3 years ago
A. 25(-5) = ? b. -15(-5) = ?
Ronch [10]
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7 0
3 years ago
Each year, all final year students take a mathematics exam. It is hypothesised that the population mean score for this test is 1
Yuri [45]

Answer:

90% confidence interval for the population mean test score is [95.40 , 106.59]

Step-by-step explanation:

We are given that the population mean score for mathematics test is 115. It is known that the population standard deviation of test scores is 17.

Also, a random sample of 25 students take the exam. The mean score for this group is 101.

The, pivotal quantity for 90% confidence interval for the population mean test score is given by;

        P.Q. = \frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } } ~ N(0,1)

where, X bar = sample mean = 101

              \sigma = population standard deviation

              n = sample size = 25

So, 90% confidence interval for the population mean test score, \mu is ;

P(-1.6449 < N(0,1) < 1.6449) = 0.90

P(-1.6449 < \frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } } < 1.6449) = 0.90

P(-1.6449 * \frac{\sigma}{\sqrt{n} } < {Xbar-\mu} < 1.6449 * \frac{\sigma}{\sqrt{n} } ) = 0.90

P(X bar - 1.6449 * \frac{\sigma}{\sqrt{n} } < \mu < X bar + 1.6449 * \frac{\sigma}{\sqrt{n} } ) = 0.90

90% confidence interval for \mu = [ X bar - 1.6449 * \frac{\sigma}{\sqrt{n} } , X bar + 1.6449 * \frac{\sigma}{\sqrt{n} } ]

                                                  = [ 101 - 1.6449 * \frac{17}{\sqrt{25} } , 10 + 1.6449 * \frac{17}{\sqrt{25} } ]

                                                  = [95.40 , 106.59]

Therefore, 90% confidence interval for the population mean test score is [95.40 , 106.59] .

7 0
4 years ago
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